Existence of periodic orbits for vector fields via Fuller index and the averaging method

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dc.contributor.authorBenevieri, Pierluigi
dc.contributor.authorGavioli, Andrea
dc.contributor.authorVillarini, Massimo
dc.date.accessioned2021-05-14T19:03:43Z
dc.date.available2021-05-14T19:03:43Z
dc.date.issued2004-11-03
dc.description.abstractWe prove a generalization of a theorem proved by Seifert and Fuller concerning the existence of periodic orbits of vector fields via the averaging method. Also we show applications of these results to Kepler motion and to geodesic flows on spheres.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBenevieri, P., Gavioli, A., & Villarini, M. (2004). Existence of periodic orbits for vector fields via Fuller index and the averaging method. <i>Electronic Journal of Differential Equations, 2004</i>(128), pp. 1-14.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13549
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectVector fields on manifolds
dc.subjectPeriodic orbits
dc.subjectFuller index
dc.titleExistence of periodic orbits for vector fields via Fuller index and the averaging method
dc.typeArticle

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